CS507A: Computational Geometry
September 4 to December 4, 2001
Course: Computer Science 308507A
Title: Computational Geometry (3 credits, 3 hours)
Time & Place: TTH 10:0011:30 in Peterson Hall 204
Instructor: Stefan Langerman, Room 310, McConnell
Office hours: Tues & Thurs, 15:0016:00.
Teaching Assistant:
Greg Aloupis
email: athens@cs.mcgill.ca;
tel: 3987071 ext: 00104; Office: McConnell 204N;
Office Hours:TBA.
Course prerequisites:
 308360 (Algorithms) or:
 Knowledge of design and analysis of algorithms
("Big O" notation, etc.)
 Knowledge of data structures
(stacks, linkedlists, arrays, balanced trees, etc.)
 Knowledge of probability and statistics.
Performance assessment:
 Two inclass 75minute tests at 24% each
(after 4 and 9 weeks approximately).
 One oral inclass presentation on the theory behind the web
project at 20% (at the end of term).
 One Web project at a total of 32%. The Web project involves
publishing a tutorial introduction to a simple idea and is
divided into two parts: the HTML document
(counts for 12%) and the interactive Java applet
(counts for 20%). Both the HTML document and the Java applet
are due December 3rd and the entire finished project
must be installed in the Computational Geometry Laboratory
by that date.
 About five practice assignments (not collected, not marked, and not
counted). However, students who wish may hand in their
assignments to the TA's for feedback. The TA will give tutorials
on these as necessary.
Text book and materials:
Useful books:
 J. O'Rourke,
Computational Geometry in C, Second Edition, Cambridge
University Press, 1998.
 Franco P.
Preparata and Michael
I. Shamos, Computational Geometry, SpringerVerlag,
1985.
 J. E. Goodman and J. O'Rourke, Eds., Handbook
of Discrete and Computational Geometry, CRC Press, Boca Raton,
1997.
Topics:

Convex hulls, polygons, Voronoi
diagrams and Delaunay triangulations, arrangements, plane sweep,
duality, geometric optimization, linear programming, range searching
and point location, decomposition and partitioning, geometric data
structures...